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The initial, boundary value problems for a class of generalized diffusion equations

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Abstract

The behavior for a class of initial, boundary value problems of generalized diffusion equations was studied utilizing the similarity transformation and shooting technique. Numerical solutions are presented for k(s)=s M, exponent M=1.0 to 5.0, and power law parameter N (N=0.3 to 3.0). The results shown that for each fixed M, the temperature distribution θ decreases with increasing in power law parameter N, and for each fixed N, the temperature distribution θ increases with the decreasing of M.

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Authors and Affiliations

  1. Department of Mathematics & Mechanics, University of Science and Technology Beijing, 100083, Beijing, China

    Liancun Zheng

  2. Mechanical Engineering School, University of Science and Technology Beijing, 100083, Beijing, China

    Xinxin Zhang

  3. Thermal Engineering Department, Northeastern University, 110006, Shenyang, China

    Jicheng He

Authors
  1. Liancun Zheng
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  2. Xinxin Zhang
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  3. Jicheng He
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Zheng, L., Zhang, X. & He, J. The initial, boundary value problems for a class of generalized diffusion equations. J. of Therm. Sci. 11, 31–34 (2002). https://doi.org/10.1007/s11630-002-0018-0

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  • DOI: https://doi.org/10.1007/s11630-002-0018-0

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